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Simplifying 8i + 4a + 6.2 + -9a = 0 Reorder the terms: 6.2 + 4a + -9a + 8i = 0 Combine like terms: 4a + -9a = -5a 6.2 + -5a + 8i = 0 Solving 6.2 + -5a + 8i = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6.2' to each side of the equation. 6.2 + -5a + -6.2 + 8i = 0 + -6.2 Reorder the terms: 6.2 + -6.2 + -5a + 8i = 0 + -6.2 Combine like terms: 6.2 + -6.2 = 0.0 0.0 + -5a + 8i = 0 + -6.2 -5a + 8i = 0 + -6.2 Combine like terms: 0 + -6.2 = -6.2 -5a + 8i = -6.2 Add '-8i' to each side of the equation. -5a + 8i + -8i = -6.2 + -8i Combine like terms: 8i + -8i = 0 -5a + 0 = -6.2 + -8i -5a = -6.2 + -8i Divide each side by '-5'. a = 1.24 + 1.6i Simplifying a = 1.24 + 1.6i
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